We study the convergence of solutions of Hamilton-Jacobi equations on domains with small scale periodic structure as the frequency of periodicity tends to infinity. We treat both the Neumann-type and the Dirichlet boundary value problems. The limit functions are characterized as unique solutions of Hamilton-Jacobi equations with the Hamiltonians determined by the corresponding cell problems.
|ジャーナル||Indiana University Mathematics Journal|
|出版ステータス||Published - 1998 9|
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